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Finding the Fourth Proportional to 7,840.68, 11,744.82 and 6,283.32

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Solution

The fourth proportional to 7,840.68, 11,744.82 and 6,283.32 is: 9,412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.68 : 11,744.82 = 6,283.32 : x
  2. Step 2: Convert to fraction form
    7,840.68/11,744.82 = 6,283.32/x
  3. Step 3: Cross multiply
    7,840.68x = 11,744.82 × 6,283.32
  4. Step 4: Simplify right side
    7,840.68x = 73,796,462.40
  5. Step 5: Solve for x
    x = 73,796,462.40/7,840.68
  6. Step 6: Final answer
    x = 9,412.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.